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42413330442 = 2374729373331
BaseRepresentation
bin100111100000000010…
…000001000000001010
311001110212011102111110
4213200002001000022
51143330303033232
631252344511150
73031020234420
oct474002010012
9131425142443
1042413330442
1116a95245a0a
12827817b4b6
133ccc057942
1420a4cdb110
1511837e2acc
hex9e008100a

42413330442 has 64 divisors (see below), whose sum is σ = 99346673664. Its totient is φ = 11819622720.

The previous prime is 42413330441. The next prime is 42413330459. The reversal of 42413330442 is 24403331424.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42413330441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 541717 + ... + 615047.

It is an arithmetic number, because the mean of its divisors is an integer number (1552291776).

Almost surely, 242413330442 is an apocalyptic number.

42413330442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42413330442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49673336832).

42413330442 is an abundant number, since it is smaller than the sum of its proper divisors (56933343222).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42413330442 is a wasteful number, since it uses less digits than its factorization.

42413330442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73683.

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 42413330442 its reverse (24403331424), we get a palindrome (66816661866).

It can be divided in two parts, 424 and 13330442, that added together give a triangular number (13330866 = T5163).

The spelling of 42413330442 in words is "forty-two billion, four hundred thirteen million, three hundred thirty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 47 94 141 282 293 329 586 658 879 987 1758 1974 2051 4102 6153 12306 13771 27542 41313 73331 82626 96397 146662 192794 219993 289191 439986 513317 578382 1026634 1539951 3079902 3446557 6893114 10339671 20679342 21485983 24125899 42971966 48251798 64457949 72377697 128915898 144755394 150401881 300803762 451205643 902411286 1009841201 2019682402 3029523603 6059047206 7068888407 14137776814 21206665221 42413330442